Factor the polynomial t^6 – 125

Question
Polynomials
asked 2020-12-16
Factor the polynomial t^6 – 125

Answers (1)

2020-12-17
t^6 – 125 = (t^2)^3 – 5^3 From the special product rule a^3 – b^3 = (a – b)(a^2 + ab + b^2) So we have (t^2 – 5)(t^4 + 5t^2 + 25)
0

Relevant Questions

asked 2021-02-15
Factor the polynomial. t^4 - 1
asked 2021-01-27
Factor the polynomial 25t^2 + 90t + 81
asked 2020-10-31
Factor the polynomial. r^4 – 81
asked 2021-01-31
Please, factor this polynomial: x^3 + 1
asked 2021-02-11
For the following polynomial, P(x) = x^6 – 2x^2 – 3x^7 + 7, find: 1) The degree of the polynomial, 2) The leading term of the polynomial, 3) The leading coefficient of the polynomial.
asked 2021-02-01
Add the polynomials: (t^2 – 4t + t^4) + (3t^4 + 2t + 6)
asked 2021-01-19
Factor the trinomial. Note that the coefficient of \(\displaystyle{x}^{{2}}\) is not equal to 1. \(\displaystyle{4}{x}^{{2}}–{3}{x}={10}.\)
asked 2020-12-25
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial, write and factor the trinomial.
\(\displaystyle{x}^{{2}}−{3}{x}.\)
asked 2020-12-22
For the following polynomial, P(x) =x^3 – 2x^2 + 4x^5 + 7, what is: 1) The degree of the polynomial, 2) The leading term of the polynomial, 3) The leading coefficient of the polynomial.
asked 2021-01-04
The polynomial \(\displaystyle{y}=-{0.79}{x}^{{4}}+{3}{x}^{{3}}+{27.3}\) describes the billions of flu virus particles in a person’s body x days after being infected. Find the number of virus particles, in billions, after 1 day.
...